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alisha [4.7K]
3 years ago
5

Raphael is twice as old as his sister. The sum of their ages is less than 30. What is the greatest age Raphael sister can be?

Mathematics
1 answer:
Sonja [21]3 years ago
7 0

Answer:

10

Step-by-step explanation:

I plugged in different numbers.

10*2 is 20

20+10=30

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Indicate the formula for the following conditions. P(n,r)=
Oliga [24]

The formula is a permutation in which n represents the sample points in the set, while r represents the number of sample points in each permutation.

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3 years ago
Read 2 more answers
14. Write a two-column proof.
scZoUnD [109]

Given:

\bold{ 8x=4y-20} \\\\ \bold{ y=13}

Prove:

\bold{x=4}

Solution:

\to \bold{8x=4y-20}..........(i)\\\\\to \bold{ y=13}........................(ii)

Putting the value of equation (ii) into the equation (i):

\to \bold{8x=4(13)-20}\\\\\to \bold{8x=52-20}\\\\\to \bold{8x=32}\\\\\to \bold{x=\frac{32}{8}}\\\\\to \bold{x= 4}\\\\

putting the value x into the equation (i):

\to \bold{8(4)=4y-20}\\\\\to \bold{32=4y-20}\\\\\to \bold{32+20=4y}\\\\\to \bold{52=4y}\\\\\to \bold{y=\frac{54}{4}}\\\\\to \bold{ y= 13.5}

Therefore, the value of x= 4

Learn more:

brainly.com/question/6219408

3 0
3 years ago
Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.
ioda

The steps in evaluating each of the following expressions is shown below.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which shows the relationship existing between two or more numerical quantities or variables.

<h3>How to evaluate the given expressions?</h3>

15 - 35/7 - 2 + 3 - 4

15 - (35/7) - 2 + 3 - 4 (bracket and division)

15 - 5 - 2 + 3 - 4 (regroup)

15 + 3 - 5 - 2 - 4 (subtract and add)

18 - 11 = 7.

<h3>Expression 2.</h3>

10 + 2(9 - 5) - 16/18

10 + (2 × 4) - 8/9 (bracket and division)

10 + 8 - 8/9 (add)

18 - 8/9 (subtract)

162/9 - 8/9 = 17 1/9 or 154/9.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

<u>Complete Question:</u>

Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.

A. 15 - 35/7 - 2 + 3 - 4

B. 10 + 2(9 - 5) - 16/18

5 0
2 years ago
If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?
nekit [7.7K]

Answer:

is it 2

Step-by-step explanation:

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3 years ago
What is the quotient of 5/8 and 20?
ddd [48]
What is the quotient of 5/8 and 20?Quotient is the term used to name the answer of the 2 or more digits being divided with each other.Now, we have 2 different numbers. A fraction and a whole number.First thing to do is to convert 5/8 to decimal number.=> 5 / 8 = 0.625Now, we have 2 numbers that needs to be divided.=> 20 as our dividend and 0.625 as our divisor=> 20 / 0.625 = 32<span>32 is the quotient when you divide 5/8 by 20</span>
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3 years ago
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